> For the complete documentation index, see [llms.txt](https://wilmerags.gitbook.io/digital-garden/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://wilmerags.gitbook.io/digital-garden/stats.md).

# Stats

Asumming a Gaussian distribution of the proportion

```python
interval = z * sqrt( (accuracy * (1 - accuracy)) / n)
```

z (for a given confidence level):

* 1.64 (90%)
* 1.96 (95%)
* 2.33 (98%)
* 2.58 (99%)

## Alternative approach

The example below demonstrates this function in a hypothetical case where a model made 88 correct predictions out of a dataset with 100 instances and we are interested in the 95% confidence interval (provided to the function as a significance of 0.05).

```python
from statsmodels.stats.proportion import proportion_confint
lower, upper = proportion_confint(88, 100, 0.05)
print('lower=%.3f, upper=%.3f' % (lower, upper))
```